I've had this roll of vintage wallpaper in my closet for ages. Wallpaper from the 60's onward works the best because it's pre-pasted and most likely washable. So when the drawer gets icky again (which it will), all you need is a swipe of a sponge. No paper damage!

You've just got to measure and cut a properly size piece, then completely wet the pasted side and gingerly drop it into the bottom of your drawer, smoothing out air bubbles as you go!

Yay, organized drawers! Now if I could just master the art of keeping them organized.